Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
166 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20268141 | C2 | semidirect |
| 5. #20267541 | C2 | semidirect |
| 6. #20267536 | C2 | semidirect |
| 7. #332×C103 | C2 | semidirect |
| 78. C103 | #1679 | semidirect |
| 85. #332 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268141 | 2 |
| #20268068 | 2 |
| #20267997 | 2 |
| #20267856 | 2 |
| #20267541 | 2 |
| #20267536 | 2 |
| #332×C103 | 2 |
| #1679 | 103 |